3(-2+5x)+(6x)=3(2+3x)

Solution for 3(-2+5x)+(6x)=3(2+3x) equation:

Simplifying
3(-2 + 5x) + (6x) = 3(2 + 3x)
(-2 * 3 + 5x * 3) + (6x) = 3(2 + 3x)
(-6 + 15x) + (6x) = 3(2 + 3x)

Combine like terms: 15x + (6x) = 21x
-6 + 21x = 3(2 + 3x)
-6 + 21x = (2 * 3 + 3x * 3)
-6 + 21x = (6 + 9x)

Solving
-6 + 21x = 6 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
-6 + 21x + -9x = 6 + 9x + -9x

Combine like terms: 21x + -9x = 12x
-6 + 12x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + 12x = 6 + 0
-6 + 12x = 6

Add '6' to each side of the equation.
-6 + 6 + 12x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 6 + 6
12x = 6 + 6

Combine like terms: 6 + 6 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1